Saturday
August 29, 2015

Homework Help: Math: Calculus

Recent Homework Questions About Calculus

Finite Math
Fifty percent of students enrolled in calculus class have previously taken pre-calculus. Thirty percent of these students received an A for the calculus class, whereas twenty percent of the other students received an A for calculus. Find the probability that a student selected...
Wednesday, June 10, 2015 by Nikole

pre-calculus 11
I have f(x) + 1/ x-c this is the question and I am told for the function with a vertical asymptote at x=1 Mr. Reimy was kind enough to provide this information comparing it to y = 1/x for the first interpretation the graph of y = 1/x would simply be translated vertically by c ...
Wednesday, June 10, 2015 by george

pre-calculus 11
I have the question what is the equation of the function in the form f(x) = 1/x-c for the function with a vertical asymptote at x=1? sketch the graph. I am uncertain how I plug this into a graphing calculator. Could I substitute 1 for x and then put an x in for c to input this...
Wednesday, June 10, 2015 by george

pre-calculus 11
I am asked to solve the absolute value equation of |1/2x +1| =x+1 graphically. I can solve this algebraically and consider two cases for the absolute value one being positive and the other negative. I know this will be a straight line and when I solved it algebraically x=0 the...
Wednesday, June 10, 2015 by george

pre-calculus 11
I have the question y=-|x^2 -9| I am asked for the piecewise function. I have written y={-x^2 +9 if x less than equal to -3} { x^2 -9 if x is greater than equal to 3} I am wondering if I have my are signs backwards.My reasons for choosing the signs I have is if I plug a ...
Wednesday, June 10, 2015 by george

Pre calculus/ Advanced Functions
Samuel is investigating the rate of change of the function f(x) = cos x on the interval xE[0, 2pi]. He notices that the graph of f(x) passes through the x-axis at pi/2. He also determines the instantaneous rate of change at x = 0, pi and 2pi by inspection. Based on this ...
Tuesday, June 9, 2015 by Anonymous

pre-calculus 11
abs x^2/2 -1 =x+3 solve algebraically so if I divide thru by 2 i get x^2 -2= 2x+3 simplifying x^2-2x-5 =0 solve by quadratic formula to get =3.449 and -0.445 both of which are extraneous roots if I take negative then I get -x^2 +2=2x+6 simplify to x^2 +2x +4 if taking using ...
Tuesday, June 9, 2015 by george

Calculus 1
True or false. Explain. The line x=1 is a vertical asymptote of f(x)=(x^2+x-2)/(x^2-1)
Tuesday, June 9, 2015 by TayB

Calculus
A manufacturer of a product has a monthly cost for producing x items given by C(x) = 10+2x. The selling price function for this product is p(x) = 50-.01x. Find the maximum profit the company can expect monthly
Monday, June 8, 2015 by Schaun

Calculus
An architect needs to design a rectangular room with an area of 77ft^2. What dimensions should he use in order to minimize the perimeter? I keep getting stuck on this problem. I know when I take square root of 77, it gives me 8.77. But how do I get there. xy= 77, y= 77/x P= 2x...
Sunday, June 7, 2015 by LittlePanda

Calculus
A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum? When I worked the problem out(which is a bit detailed). I started with y = square root 25-x^2 then A = 2x square root 25...
Saturday, June 6, 2015 by LittlePanda

Calculus
Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.
Friday, June 5, 2015 by Alex

Calculus
v(t)= t^3 - 3t^2 + 3t Are there any times after t = 0 where the particle comes to a stop? Does the particle ever slow down?
Wednesday, June 3, 2015 by Anonymous

calculus
Can I have a website of Beginner calculus books?
Tuesday, June 2, 2015 by ken

Calculus
An airplane has airspeed of 724 k/h at bearing of North 30 degrees East. If the wind velocity is 32 from west. find the ground speed and direction of plane. Teacher gives solution of 740.5 k/hr and 57.9 degrees. Can anyone show steps?
Monday, June 1, 2015 by Trey

Calculus
A(x) = x^2 + 128/x find A'(x) and A"(x)
Sunday, May 31, 2015 by Anonymous

math
Consider the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college. What would you expect the shape and variation of the distribution to be? A. Symmetric with little variation B. Symmetric with large variation C. Skewed right with ...
Thursday, May 28, 2015 by scoobs2usa

Calculus
For f(x)=(1-x)/(1+x) and g(x)=x/(1-x) , find the simplified form for f [g(x)] and state the domain
Wednesday, May 27, 2015 by Tom

Calculus
Use the table below to evaluate d/dx [f[g(2x)]] at x = 1 x 1 2 3 4 f(x) 6 1 8 2 f '(x) 6 1 8 2 g(x) 1 4 4 3 g '(x) 9 5 5 -4
Wednesday, May 27, 2015 by Tom

Calculus
at what time does this equation reaches 10000? show steps. thanks w(t)=(t-10)(t-20)+4500
Tuesday, May 26, 2015 by Reza

Calculus
A box with a square base and no top is to have a volume of 32 ft3. What dimensions use the least amount of material (in other words what dimensions give minimum outside surface area)?
Sunday, May 24, 2015 by Maddie

Calculus math
how do i solve these quadratics? c=10000 9a+3b+c=7975 36a+6b+c=6400 im unsure of how to solve as a and b are unknowns...
Thursday, May 21, 2015 by Dg

Calculus
Which of the following functions is continuous at x = 5? I put a for my answer, could someone please check this? a. f(x)=(x^2-25)/(x+5) b. (x^2-25)/(x-5), x cannot equal 5 20 when x equals 5 c.(x^2-25)/(x-5), x cannot equal 5 0 when x equals 5 d. all of the functions are ...
Thursday, May 21, 2015 by Tom

calculus
Peter the punter decided to place $10,000 into a high growth share portfolio. After 3 weeks his investment was looking rather sad, with the value of his portfolio falling $2,025. Unperturbed, Peter stuck with his original plan to hold the stock for at least 6 months. But after...
Thursday, May 21, 2015 by Roney

Calculus and quadratic equations
Peter the punter decided to place $10,000 into a high growth share portfolio. After 3 weeks his investment was looking rather sad, with the value of his portfolio falling $2,025. Unperturbed, Peter stuck with his original plan to hold the stock for at least 6 months. But after...
Wednesday, May 20, 2015 by Roney

Calculus
Which of the following statements is/are true? I.If f '(c) = 0, then f has a local maximum or minimum at x = c. II.If f is continuous on [a, b] and differentiable on (a, b) and f '(x) = 0 on (a, b), then f is constant on [a, b]. III.The Mean Value Theorem can be ...
Wednesday, May 20, 2015 by Tom

Calculus
The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing the point of tangency, f " > 0 f " < 0 f ' > 0 f ' < 0
Wednesday, May 20, 2015 by Tom

Calculus
The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing the point of tangency, f " > 0 f " < 0 f ' > 0 f ' < 0
Wednesday, May 20, 2015 by Tom

Calculus
(a) Consider the region in the xy-plane consisting of the points (x; y) satisfying x > 0, y > 0, and lying between the curves y = x^2 + 1, y = 2x^2 2 and the two axes. Draw a diagram of this region. (b) This region is rotated about the y-axis to form a solid glass vase. ...
Tuesday, May 19, 2015 by Yoyo

Calculus
If the integral from 0 to 8 of f(x)=4, then calculate the integral of f(4x) from 0 to 2.
Tuesday, May 19, 2015 by Yoyo

Calculus
Let f : R --> R be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
Tuesday, May 19, 2015 by Jack

Calculus
The following definite integral gives the area of the region between the graph of the function f(x) = Icosx - x^2I (I=modulus), the x-asis, and the lines x=-2 and x=2. the integral of mod cosx - x^2 from -2 to 2. Describe a different region whose area is given by this integral...
Tuesday, May 19, 2015 by Alex

Calculus
Let f for all Real numbers, be an odd function. Explain why, for any positive number a, the integral from -a to a of f(x) = 0.
Tuesday, May 19, 2015 by Jim

Quadratic Functions and Calculus
Peter the punter decided to place $10,000 into a high growth share portfolio. After 3 weeks his investment was looking rather sad, with the value of his portfolio falling $2,025. Unperturbed, Peter stuck with his original plan to hold the stock for at least 6 months. But after...
Tuesday, May 19, 2015 by Roney

Calculus
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x^(1/3) + 6x^(4/3). You must justify your answer using an analysis of f '(x) and f "(x). I found the first and second derivative which i think is (8x+1)/(x^(2/3), and the ...
Monday, May 18, 2015 by Tom

Calculus
The position function of a particle in rectilinear motion is given by s(t) s(t) = t^3 - 9t^2 + 24t + 1 for t ≥ 0. Find the position and acceleration of the particle at the instant the when the particle reverses direction. Include units in your answer.
Monday, May 18, 2015 by Tom

Calculus
Please check my answers. Solve the following equations and/or system of equations for the unknown variables. 1. x^2-3x-12=0 x= 3 + sqrt(57) / 2, x= 3 - sqrt(57) / 2 2. x+y=8 , 3x+2y=2 x=-14, y=22 3. 3x + 2y =10 , x+y=5 , y+z =9 x=0,y=5, z=4 4. 1/x-p1z=0, 1-p2z=0, I-p1x-p2y=0 ...
Monday, May 18, 2015 by John

Calculus
Given h(x)=(6x^2+x)/x , find h'(0)
Monday, May 18, 2015 by Fred

Calculus
If f(5) = 7, then lim f(x) ------------------x-> 5
Monday, May 18, 2015 by Andrew

Calculus
If f(5) = 7, then lim f(x) x-> 5
Monday, May 18, 2015 by Andrew

Calculus
I really need help with this calculus question. I ve been struggling to figure it out. Imagine making a tent in the shape of a right prism whose cross section is an equilateral triangle (the door is on one of the triangular ends). Assume we want the volume to be 2.6m^3, to ...
Sunday, May 17, 2015 by AG

Calculus 2
How would you find the following. A step by step process would greatly be appreciated. 1) Convert the polar equation to a rectangular equation. r^2 = 8sin2θ
Sunday, May 17, 2015 by Mira

calculus
velocity of a particle- the displacement s (in meters) of a particle moving in a straight line is given by the equation of motion s=4t^3+6t+2, where t is measured in seconds. Find the velocity of the particle s at times t=a t=1 t=2 t=3
Saturday, May 16, 2015 by Anonymous

calculus
velocity of a ball- if a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y=40t-16t^2. find the velocity when t=2
Saturday, May 16, 2015 by Anonymous

calculus
find the derivative of the function at the given number F(x)= 1/ √x at 4
Saturday, May 16, 2015 by Anonymous

calculus
find an equation of the tangent line to the curve at the given point. graph the curve and the tangent line y=x/x-1 at (2,2) )
Saturday, May 16, 2015 by Anonymous

Calculus
Solve the following differential equation with initial conditions: y"=e^(-2t) + 10^(4t); y(0)=1, y'(0) = 0
Friday, May 15, 2015 by Pax

Calculus
Suppose a certain country's population has constant relative birth and death rates of 97 births per thousand people per year and 47 deaths per thousand people per year respectively. Assume also that approximately 30000 people emigrate (leave) from the country every year. ...
Friday, May 15, 2015 by Pax

Calculus
The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points) a. Estimate the value of T'(6). Give units in your answer. b. What is the meaning of T'(6)? t ...
Friday, May 15, 2015 by Tom

Calculus
The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____
Thursday, May 14, 2015 by Pax

Calculus
Center at (2,-5), conjugate axis parallel to the y-axis, slopes at assymptotes numerically one-sixteenth times the length of the latus rectum, and distance between foci is 2 sqr t145.
Thursday, May 14, 2015 by Ruby Ann

Calculus, Riemann Sums
Measurements of a lake’s width were taken at 15-foot intervals, as shown: x= 0 15 30 45 60 75 90 105 120 f(x)= 0 15 18 20 19 23 24 22 12 Estimate integral (0,120) f(x) dx with n = 4, using Midpoint approximation. For this question, I ended up with 7200 but compared to the...
Tuesday, May 12, 2015 by Pax

Calculus
Problem: Find the general solution to the following differential equation: x y' +x = ycos(1/x) I assume that you do separation of variables here: x(dy/dx) +x = ycos(1/x) xdy+x = (ycos(1/x)) dx ....? I'm stuck on how to simplify this. Thank you!
Tuesday, May 12, 2015 by Sarah

Pre-Calculus (absolute values)
I want to find the invariant points( points that are fixed) algrebraically of x^2 - 25 and its reciprocal. Would I set up my equation like this? 0 = x^2 -25 or 0 = 1/ x^2 - 25 Thanks
Tuesday, May 12, 2015 by Lucina

Calculus
f(x)=xe^-x^2. What interval is this function increasing.
Monday, May 11, 2015 by Andrew

pre calculus
Given that sinx= 3/5 and that x terminates in Quadrant 2 , determine the values for cosx and tanx Find Cos x/2
Monday, May 11, 2015 by Anonymous

Pre-calculus ( Absolute value)
Why does |7 + 3x| = x -1 have no solution? I could plug in, for example 5, and the answer would be positive. Thank you =)
Sunday, May 10, 2015 by Lucina

Pre-Calculus
Can someone please explain on how to solve this equation so I can do the others that are similar to this one? Find the solutions of the equations that are in the interval [0,2pi) cos x cot^2 x= cos x Thank you!
Saturday, May 9, 2015 by Anonymous

Calculus
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. a.Find all values of x where the graph of g has a critical value. b.For each critical value, state whether the ...
Friday, May 8, 2015 by Gary

calculus
Integral of 1/[x^2(1+x^2)]
Friday, May 8, 2015 by ben

calculus(urgent pls)
Integral of 1/[x^2(1+x^2)]
Friday, May 8, 2015 by ben

Calculus, derivatives
The curve is given by x^2+2r(sqrt(y))=xy What is dx/dr when y is constant?
Friday, May 8, 2015 by Andy

Calculus(URGENT PLS!!!)
Find the integral of (e^cosx)sinx
Friday, May 8, 2015 by ben

Calculus
Find the area of the region bounded by f(x)=5xsqrt(121−x2) and the x-axis. The area is = to
Friday, May 8, 2015 by Lis

Calculus - Derivative
The curve is given by x^2+2r(sqrt(y))=xy What is dx/dy when r is constant?
Friday, May 8, 2015 by Fred

Calculus
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency f '(x) < 0 f '(x) > 0 f "(x) < 0 f "(x) > 0
Thursday, May 7, 2015 by Gary

Calculus
The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals of (0.12,1), if any, is the graph...
Thursday, May 7, 2015 by Sarah

Calculus
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither ...
Thursday, May 7, 2015 by Sarah

Calculus
If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b] is 2 d.The linear ...
Thursday, May 7, 2015 by Gary

Calculus
True or False If f is continuous at x = c, then f is differentiable at x = c.
Thursday, May 7, 2015 by Gary

Calculus
The local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency f '(x) < 0 f '(x) > 0 f "(x) < 0 f "(x) > 0
Thursday, May 7, 2015 by Gary

Calculus
Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]
Thursday, May 7, 2015 by Anonymous

Calculus
A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
Thursday, May 7, 2015 by Anonymous

Calculus
The region bounded by y= e^x, y=0, x= -1 and x=1 is rotated about the x-axis, find the volume generated.
Thursday, May 7, 2015 by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
Thursday, May 7, 2015 by Anonymous

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
Thursday, May 7, 2015 by Anonymous

calculus 1 (I need help)
The portion of the ellipse x^2/9+y^2/4=1 with x greater than or equals to 0 is rotated about the y-axis to form a solid S. A hole of radius 1 is drilled through the center of S, along the y-axis. Find the exact volume of the part of S that remains. Show all steps. (Hint: use ...
Wednesday, May 6, 2015 by linda

calculus
Use table of integrals to evaluate the integral of x^4 sinxdx.
Wednesday, May 6, 2015 by beam

Calculus
Find the average value of the function f(x)= 8/ (3+x)^2 on the interval [0,2]
Wednesday, May 6, 2015 by Joe

Calculus
A cable that weighs 3 lb/ft. is used to lift a golf cart which weighs 700 lbs up to the deck of a boat which is 300 ft above a loading dock. Find the work done.
Wednesday, May 6, 2015 by Joe

Calculus
The region bounded by y= e^x, y=0, x= -1 and x=1 is rotated about the x-axis, find the volume generated.
Wednesday, May 6, 2015 by Joe

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^(1/3), and y= x about the line y=1
Wednesday, May 6, 2015 by Joe

Calculus
Find the volume of the solid obtained by rotating the region bounded by y= x^2, y=0, and x=3 about the x-axis.
Wednesday, May 6, 2015 by Joe

Calculus
Find the area of the region bounded by the curves y=x^2 - 2x and y= x + 4
Wednesday, May 6, 2015 by Joe

Pre-Calculus
Evaluate. 1-|200+||-2|(-5)^3|| I get 49 as an answer
Wednesday, May 6, 2015 by Lucina

calculus
find the exact arc length of the curve: y=0.5(e^x + e^-x) for 0 is less than or equal to x and x is less than or equals to ln2.
Wednesday, May 6, 2015 by may

Calculus
What is the derivative of tan(1-x)^(1/2)?
Wednesday, May 6, 2015 by Lola

Calculus
The graph of f '(x) is continuous and decreasing with an x-intercept at x = -3. Which of the following statements must be true?
Monday, May 4, 2015 by joe9

Calculus max/min
d=0.767. There are two parallel sidewalks that are separated by the park that is 600 feet wide. You are standing on the south sidewalk facing east. On the north sidewalk, 2000 feet ahead of you, is a bus stop. You can walk on the sidewalk at 5.5+d feet per sec. You can walk ...
Sunday, May 3, 2015 by John

Calculus 2
Find the radius of convergence and interval of convergence of the series. There is an infinity sign on top of the summation symbol and "n=1" underneath it. To the right of the summation symbol is x^n/5n! How would you find the radius of convergence and interval of ...
Sunday, May 3, 2015 by Sena

Calculus
A wedge is cut from a right circular cylinder of radius r by two planes, one perpendicular to the axis of the cylinder and the other making an angle (beta) with the first. Find the volume of the wedge by slicing perpendicular to the y-axis. Please show all steps
Sunday, May 3, 2015 by Beam

calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. What values of a make h(x) strictly decreasing? I know h'(x) has to be less than zero for h(x) to be decreasing and h'(x) = 1-asin(ax). I'm not sure where to go from here...
Saturday, May 2, 2015 by kaitlyn

Optimization Calculus
A three sided fence is to be built next to a straight section of river, which forms the fourth side of a rectangular region. There is 96 ft of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. I drew a picture of it and I got ...
Saturday, May 2, 2015 by Nicole

Calculus
h(x) = x+cos(ax) is a family of functions where a is a positive constant such that 0<a<4. Which values of a make h(x) strictly decreasing? Justify your answer. I can't figure this out and help would be appreciated. Thanks in advance!
Saturday, May 2, 2015 by ashley

Calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so I have 1 + ...
Friday, May 1, 2015 by ashley

Calculus
h(x)= x + cos(ax), where a is a positive constant such that 0 < a < 4. For what values of a will h(x) have a relative maximum at x=1? So I found the derivative and got h'(x) = 1- asin(ax). Then I plugged in 1 for x and set the derivative equal to zero, so I have 1 - ...
Friday, May 1, 2015 by ashley

Calculus
Imagine making a tent in the shape of a right prism whose cross-section is an equilateral triangle (the door is on one of the triangular ends). Assume we want the volume to be 2.2 m3, to sleep two or three people. The floor of the tent is cheaper material than the rest: assume...
Thursday, April 30, 2015 by Lizz

Calculus
What is the solution to the following system of equations -2x+3y+z=5 x+5y+2z=17 To do this, I used elementary operations and isolated x to get 13y+5z=37. Is that correct so far? How would I continue?
Thursday, April 30, 2015 by Sara

Calculus
How would I find the equilibrant of three vectors? I am given a graph of three different vectors which meet at the point (0,0)
Thursday, April 30, 2015 by Sara

Calculus
If 3(a,3,2)-2(3,b,b)=(-3,1,-2) determine a and b. Describe the set spanned by the vectors. I don't know how to answer this
Thursday, April 30, 2015 by Sara

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